Question

7/15×(-7,4)+3 7/15×(1,6)-9×(-2 26/45)​

Answer 1

Ответ;

45,693

Пошаговое объяснение:

7/15×( -37/5 )+37/ 15 × 8/5 +226/5=

-259/75+296/ 5+ 226/5=3427/75=

45,693

Answer 2

To evaluate the expression, let's break it down step by step:

First, let's calculate 7/15 × (-7,4):

7/15 × (-7,4) = (-7/15) × 7.4

To multiply a fraction by a decimal number, we can convert the decimal number to a fraction by placing it over 1, and then multiply the numerators and denominators.

(-7/15) × 7.4 = (-7/15) × (7.4/1) = (-7 × 7.4) / (15 × 1) = -51.8 / 15

Next, let's calculate 3 7/15 × (1,6):

3 7/15 × (1,6) = (3 + 7/15) × 1.6

To multiply a mixed number by a decimal number, we can convert the mixed number to an improper fraction, and then multiply the numerators and denominators.

(3 + 7/15) × 1.6 = (3 × 15/15 + 7/15) × 1.6 = (45/15 + 7/15) × 1.6 = (52/15) × 1.6 = (52 × 1.6) / 15 = 83.2 / 15

Finally, let's calculate 9 × (-2 26/45):

9 × (-2 26/45) = 9 × (-2 + 26/45)

To multiply a mixed number by a whole number, we can convert the mixed number to an improper fraction, and then multiply the numerators and denominators.

9 × (-2 + 26/45) = 9 × (-2 × 45/45 + 26/45) = 9 × (-90/45 + 26/45) = 9 × (-64/45) = -576/45

Now, let's put it all together:

-51.8 / 15 + 83.2 / 15 - 576/45

To add fractions with different denominators, we need to find a common denominator. The least common multiple of 15 and 45 is 45.

-51.8 / 15 + 83.2 / 15 - 576/45 = (-51.8 × 3) / (15 × 3) + (83.2 × 3) / (15 × 3) - 576/45 = -155.4 / 45 + 249.6 / 45 - 576/45

Now, we can combine the numerators and keep the common denominator:

= (-155.4 + 249.6 - 576) / 45 = (-482.8) / 45 = -10.729

Therefore, the value of the expression 7/15×(-7,4)+3 7/15×(1,6)-9×(-2 26/45) is approximately -10.729.